USPAS 2016: Self-Consistent Simulation of Beam and Plasma Systems

2018 Updated and Extended Version of Course

US Particle Accelerator School
Summer Session, 2016 13-17 June
Sponsored by Colorado State University
Fort Collins, CO
1 Week Course (1.5 units)


Prof. Steven M. Lund
Michigan State University
Physics and Astronomy Department
Facility for Rare Isotope Beams (FRIB)
510-459-4045 (mobile)
Dr. Jean-Luc Vay
Lawrence Berkeley National Laboratory (LBNL)
510-486-4934 (LBNL Office)
Dr. Rémi Lehe
Lawrence Berkeley National Laboratory (LBNL)
510-486-6785 (LBNL Office)

Simulation Exercises with the Warp Code:

Dr. David P. Grote
Lawrence Livermore National Laboratory (LLNL)
Lawrence Berkeley National Laboratory (LBNL)
925-424-7194 (LLNL Office)


Dr. Daniel Winklehner
Massachusetts Institute of Technology (MIT)
510-479-6501 (mobile)

Course Details/Lecture Schedule:

Syllabus (pdf)

Lecture Notes:

Lecture notes will be periodically posted on this web site before material is covered in class. Paper copies of lecture notes will also be handed out in class to aid note taking. Time permitting, corrections and additions will be posted on the web site subsequent to lectures. Materials are organized by topic in the rough order intended to be covered in class. Postings will be in pdf format including electronic slides produced in OpenOffice and Microsoft PowerPoint (pdf in compact vector form with embeded fonts), and scans of handwritten notes (pdf in bitmap form). In some cases notes are posted in both one slide per page (for presentation) and 4 slides per page handout (for more compact printing) formats. Notes will be maintained on this web site after the course with occasional updates, corrections, and extensions until a next version of the course is given. At that time the web site will be frozen with a link to the newer version.

• S.M. Lund Introductory Lectures
• J.-L. Vay / R. Lehe Advanced Lectures
• J.-L. Vay / R. Lehe Warp/Application Lectures

Warp Code:

Numerical examples, demonstrations, and exercises will heavily rely on the Warp particle-in-cell code detailed in the Wiki documentation linked below. Although the course is not specifically on Warp, it can also serve as in introduction to this large and highly versatile open-source code designed for self-consistent simulation of high intensity beams.

Warp Wiki

Problem Sets (60% Course Grade):

Daily problem sets will be handed out in class and subsequently posted below in pdf format on this web site. The problem sets are due at the start of lectures on the next day. Solutions will not be posted on the web site but paper copies of solutions will be given in class and solutions will be reviewed. Students are encouraged to discuss the problem sets with other students, the grader, and the lecturers, but are required to turn in their own solutions.

Problem Set 01
Problem Set 02
Problem Set 03

Final Exam (40% Grade):

A take home final exam will be handed out on the next to last lecture and subsequently posted below in pdf format on this web site. The final exam is due at the start of the final lecture. Both course lecture notes and the student's own personal notes can be used on the final exam and work must be independent. Students are not allowed to consult others other than clarification questions to the lecturers.

Final Exam

Related USPAS Course on High Intensity Beam Physics:

Many beam physics concepts employed in this course relating to accelerator physics with high space-charge intensity are treated in the course:

USPAS 2015: Beam Physics with Intense Space-Charge

Notes on the linked course web site provide reference material for many topics covered in this simulation course.